Given the following Quantity Discount Schedule

Discount Number	Discount quantity	Discount %	Discount cost ($)
1	0 to 199	0	55
2	200 to 499	3	To be completed
3	500 to 999	4%	To be completed
4	1000 or more	4.5%	To be completed

If the normal cost per unit is $ 55, the ordering cost per order is $82; the annual demand is 4000 units, and the holding cost is 55% of the cost per unit. What order quantity will minimize the total inventory cost? Please show all work. Please show you calculations manually.